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Extensions 1→N→G→Q→1 with N=C3×C21 and Q=C6

Direct product G=N×Q with N=C3×C21 and Q=C6
dρLabelID
C32×C42378C3^2xC42378,60

Semidirect products G=N:Q with N=C3×C21 and Q=C6
extensionφ:Q→Aut NdρLabelID
(C3×C21)⋊1C6 = He3⋊D7φ: C6/C1 → C6 ⊆ Aut C3×C21636+(C3xC21):1C6378,38
(C3×C21)⋊2C6 = C3×C3⋊F7φ: C6/C1 → C6 ⊆ Aut C3×C21426(C3xC21):2C6378,49
(C3×C21)⋊3C6 = C32⋊F7φ: C6/C1 → C6 ⊆ Aut C3×C21636+(C3xC21):3C6378,22
(C3×C21)⋊4C6 = C32⋊4F7φ: C6/C1 → C6 ⊆ Aut C3×C2163(C3xC21):4C6378,51
(C3×C21)⋊5C6 = D7×He3φ: C6/C1 → C6 ⊆ Aut C3×C21636(C3xC21):5C6378,30
(C3×C21)⋊6C6 = D7⋊He3φ: C6/C1 → C6 ⊆ Aut C3×C21636(C3xC21):6C6378,12
(C3×C21)⋊7C6 = C32×F7φ: C6/C1 → C6 ⊆ Aut C3×C2163(C3xC21):7C6378,47
(C3×C21)⋊8C6 = C7×C32⋊C6φ: C6/C1 → C6 ⊆ Aut C3×C21636(C3xC21):8C6378,34
(C3×C21)⋊9C6 = C7⋊He3⋊C2φ: C6/C1 → C6 ⊆ Aut C3×C21636(C3xC21):9C6378,17
(C3×C21)⋊10C6 = C3×S3×C7⋊C3φ: C6/C1 → C6 ⊆ Aut C3×C21426(C3xC21):10C6378,48
(C3×C21)⋊11C6 = C3⋊S3×C7⋊C3φ: C6/C1 → C6 ⊆ Aut C3×C2163(C3xC21):11C6378,50
(C3×C21)⋊12C6 = C14×He3φ: C6/C2 → C3 ⊆ Aut C3×C211263(C3xC21):12C6378,45
(C3×C21)⋊13C6 = C2×C7⋊He3φ: C6/C2 → C3 ⊆ Aut C3×C211263(C3xC21):13C6378,28
(C3×C21)⋊14C6 = C3×C6×C7⋊C3φ: C6/C2 → C3 ⊆ Aut C3×C21126(C3xC21):14C6378,52
(C3×C21)⋊15C6 = C3×C3⋊D21φ: C6/C3 → C2 ⊆ Aut C3×C21126(C3xC21):15C6378,57
(C3×C21)⋊16C6 = C32×D21φ: C6/C3 → C2 ⊆ Aut C3×C21126(C3xC21):16C6378,55
(C3×C21)⋊17C6 = D7×C33φ: C6/C3 → C2 ⊆ Aut C3×C21189(C3xC21):17C6378,53
(C3×C21)⋊18C6 = S3×C3×C21φ: C6/C3 → C2 ⊆ Aut C3×C21126(C3xC21):18C6378,54
(C3×C21)⋊19C6 = C3⋊S3×C21φ: C6/C3 → C2 ⊆ Aut C3×C21126(C3xC21):19C6378,56

Non-split extensions G=N.Q with N=C3×C21 and Q=C6
extensionφ:Q→Aut NdρLabelID
(C3×C21).1C6 = D21⋊C9φ: C6/C1 → C6 ⊆ Aut C3×C211266(C3xC21).1C6378,21
(C3×C21).2C6 = D7×3- 1+2φ: C6/C1 → C6 ⊆ Aut C3×C21636(C3xC21).2C6378,31
(C3×C21).3C6 = C3×C7⋊C18φ: C6/C1 → C6 ⊆ Aut C3×C21189(C3xC21).3C6378,10
(C3×C21).4C6 = C32.F7φ: C6/C1 → C6 ⊆ Aut C3×C21636(C3xC21).4C6378,11
(C3×C21).5C6 = S3×C7⋊C9φ: C6/C1 → C6 ⊆ Aut C3×C211266(C3xC21).5C6378,16
(C3×C21).6C6 = C14×3- 1+2φ: C6/C2 → C3 ⊆ Aut C3×C211263(C3xC21).6C6378,46
(C3×C21).7C6 = C6×C7⋊C9φ: C6/C2 → C3 ⊆ Aut C3×C21378(C3xC21).7C6378,26
(C3×C21).8C6 = C2×C21.C32φ: C6/C2 → C3 ⊆ Aut C3×C211263(C3xC21).8C6378,27
(C3×C21).9C6 = C9×D21φ: C6/C3 → C2 ⊆ Aut C3×C211262(C3xC21).9C6378,37
(C3×C21).10C6 = D7×C3×C9φ: C6/C3 → C2 ⊆ Aut C3×C21189(C3xC21).10C6378,29
(C3×C21).11C6 = S3×C63φ: C6/C3 → C2 ⊆ Aut C3×C211262(C3xC21).11C6378,33

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